506740400 has 30 divisors (see below), whose sum is σ = 1217444772. Its totient is φ = 202696000.

The previous prime is 506740397. The next prime is 506740459. The reversal of 506740400 is 4047605.

It is a self number, because there is not a number n which added to its sum of digits gives 506740400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 633026 + ... + 633825.

Almost surely, 2^506740400 is an apocalyptic number.

506740400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506740400 is an abundant number, since it is smaller than the sum of its proper divisors (710704372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506740400 is a wasteful number, since it uses less digits than its factorization.

506740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266869 (or 1266858 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 506740400 is about 22510.8951399095. The cubic root of 506740400 is about 797.2511908782.

The spelling of 506740400 in words is "five hundred six million, seven hundred forty thousand, four hundred".